a certain shampoo is available in two sizes. a 10.1 - ounce bottle costs $2.53. a 23.7 - ounce bottle costs…

a certain shampoo is available in two sizes. a 10.1 - ounce bottle costs $2.53. a 23.7 - ounce bottle costs $5.48. find the unit price for each size. then state which size is the better buy based on the unit price. round your answers to the nearest cent. unit price for the 10.1 - ounce bottle: $ per ounce unit price for the 23.7 - ounce bottle: $ per ounce the better buy: the 10.1 - ounce bottle the 23.7 - ounce bottle neither (they have the same unit price)
Answer
Explanation:
Step1: Calculate unit - price of 10.1 - ounce bottle
Unit price = $\frac{\text{Total cost}}{\text{Number of ounces}}$, so for the 10.1 - ounce bottle, unit price = $\frac{2.53}{10.1}\approx0.25$
Step2: Calculate unit - price of 23.7 - ounce bottle
For the 23.7 - ounce bottle, unit price = $\frac{5.48}{23.7}\approx0.23$
Step3: Compare unit prices
Since $0.23<0.25$, the 23.7 - ounce bottle is the better buy.
Answer:
Unit price for the 10.1 - ounce bottle: $$0.25$ per ounce Unit price for the 23.7 - ounce bottle: $$0.23$ per ounce The better buy: The 23.7 - ounce bottle